Verify that loglinear model (GLS, GI, LI, IS) implies logit model (8.16). Show that the conditional log

Question:

Verify that loglinear model (GLS, GI, LI, IS) implies logit model (8.16). Show that the conditional log odds ratio for the effect of S on I equals β₁^S – β₂^S in the logit model and λ₁₁^IS + λ₂₂^IS – λ₁₂^IS – λ₂₁^IS in the loglinear model.